Directory: Top/Science/Math/Analysis

An Introduction to the Gauge Integral
Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals.
http://www.math.vanderbilt.edu/~schectex/ccc/gauge/
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Advanced Calculus and Analysis
Lecture notes from the University of Aberdeen for a first course in Analysis.
http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html
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Harmonic Analysis
Maintained by Terence Tao, UCLA. Lists events, personal pages, preprints, research groups, other links.
http://www.math.ucla.edu/~tao/harmonic/
Ucla.edu ~ Site Info Whois Trace Route RBL Check

On the Atiyah-Singer Index Theorem
An overview of the Atiyah-Singer Index Theorem that places the result in historical and mathematical context.
http://www.abelprisen.no/nedlastning/2004/popular_english_2004.pdf
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The Nrich Maths Project Cambridge: Fractional Calculus I
Using the gamma function, a definition of integration and differentiation performed a fractional number of times is presented.
http://www.nrich.maths.org/public/viewer.php?obj_id=1365&part=index&refpage=monthindex.php
Maths.org ~ Site Info Whois Trace Route RBL Check

The International Society for Analysis, its Applications and Computation (ISAAC)
Established in 1994 to promote and advance analysis, its applications, and its interaction with computation. Meetings, lists.
http://mathisaac.org/
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